Active jazz type bass with flats?

I didn't know whether this should go in basses or strings, forgive me if I didn't choose well!

I have, of course, heard a ton of clips of P basses with flats, and there's the odd clip on YouTube of either a passive jazz or a stingray with flats.

But I want to hear people's opinions on what flats sound like on an active jazz style bass.

I usually use dead rounds, roll the neck pickup right off and the bridge pickup on full, and the treble rolled off about 50%, to give you an idea of the kind of tone I enjoy.

Feel free to include sound clips if you have any, I'll listen to them all, and recommendations for which flats you think would sound good. Nothing too tense feeling (like the Steve Harris's Rotos for example), my hands aren't that strong. Either low tension or something that comes in a lighter gauge like 100's